Question

Find the value of x, y and z. Round to the
nearest whole number.

Answer 1

Hello!

We can say that:

• x = 35
• y = 18
• z = 13

Let's go!

Calculate x, knowing that angles opposite the vertex have the same value: ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

• 4x - 21 = 2x + 7
• 4x - 2x = 7 + 21
• 2x = 28
• x =
  `(28)/(2)`
• x = 14

To know the value of y, just calculate when the angle 4x - 21 ° is worth, as we already have the value of x. Then just do another equation.

• 4.14 - 21
• 56 - 21
• 35

Now, we calculate:

• 6y + 37 + 35 = 180
• 6y + 72 = 180
• 6y = 180 - 72
• 6y = 108
• y =
  `(108)/(6)`
• y = 18

Now, we calculate z:

• 180 - 35 → (35 is the value of 4x - 21 angle, and the adjacent angle of 2x + 7 is same to 10z + 15)
• = 145
• Now, we calculate:
• 10z + 15 = 145
• 10z = 145 - 15
• 10z = 130
• z =
  `(130)/(10)`
• z = 13

Is important stand out what the draw isn't in the correct scale.

Hope this helps!!!! Good studies! ☺